Solve the problem.Let angle POQ be designated ?. Angles PQR and VRQ are right angles. If ? = 45°, find the exact length of OV. 

A.
B. 0
C.
D. 1


Answer: C

Mathematics

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Use the counting principle to obtain the answer.A salesman packed 3 shirts and 6 ties. With one shirt, he could wear all 6 ties. With another shirt, he could wear 5 ties. With the third shirt, he could wear only 2 ties. How many different combinations did he have?

A. 13 B. 60 C. 32 D. 12

Mathematics

Solve the problem.Bob owns a watch repair shop. He has found that the cost of operating his shop is given by  where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost?

A. 39 watches B. 44 watches C. 20 watches D. 88 watches

Mathematics

The general term of a sequence is given. Find the indicated partial sum.a1 = 4, an = an - 1 + 6  for n ? 2;  S5

A. 80 B. 100 C. 85 D. 55

Mathematics

y?? ? 2y? +10y = 0, y (0) = 2, y?(0) =1

Solve the initial-value problem.

Mathematics